On relations between multiclass, multicriteria traffic network equilibrium models and vector variational inequalities

Shengjie Li , Guangya Chen

Journal of Systems Science and Systems Engineering ›› 2006, Vol. 15 ›› Issue (3) : 284 -297.

PDF
Journal of Systems Science and Systems Engineering ›› 2006, Vol. 15 ›› Issue (3) : 284 -297. DOI: 10.1007/s11518-006-5012-8
Article

On relations between multiclass, multicriteria traffic network equilibrium models and vector variational inequalities

Author information +
History +
PDF

Abstract

In this paper, relations between vector and weak vector variational inequalities and equilibrium principles for multiclass, multicriteria traffic network equilibrium problem in the fixed demand case and elastic demand case are established, respectively.

Keywords

Traffic network equilibrium model / equilibrium principle / vector variational inequality

Cite this article

Download citation ▾
Shengjie Li, Guangya Chen. On relations between multiclass, multicriteria traffic network equilibrium models and vector variational inequalities. Journal of Systems Science and Systems Engineering, 2006, 15(3): 284-297 DOI:10.1007/s11518-006-5012-8

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Chen, G. Y. & Yen, N. D. (1993). On the variational inequality model for network equilibrium. Internal Report 3.196 (724), Department of Mathematics, University of Pisa

[2]

Chen G. Y., Goh C. J., Yang X. Q.. Vector network equilibrium problems and nonlinear scalarization methods. Mathematical Methods of Operations Research, 1999, 49: 239-253.

[3]

Daniele P., Maugeri A.. Variational inequalities and discrete and continuum models of network equilibrium problems. Mathematical and Computer Modelling, 2002, 35: 689-708.

[4]

Dafermos S.. A multicriteria route-mode choice traffic equilibrium model, 1981, Providence, RI: Lefschetz Center for Dynamical Systems, Brown University

[5]

Dial R. B.. A model and algorithms for multicriteria route-mode choice. Transportation Research, 1979, 13B: 311-316.

[6]

Giannessi F.. Cottle R.W., Giannessi F., Lions J.L.. Theorems of the alternative, quadratic programs, and complementarity problems. Variational Inequalities and Complementarity Problems, 1980, New York: Wiley 151-186.

[7]

Giannessi, F. (1998). On Minty variational principle. In: Giannessi, F., Komlosi, S., Ropcsak, T. (eds), New Trend in Mathematical Programming, pp.93–99. Kluwer Academic Publisher

[8]

Giannessi, F. (2000). Vector Variational Inequalities and Vector Equilibria. Kluwer Academic Publisher.

[9]

Goh C. J., Yang X. Q.. Theory and methodology of vector equilibrium problem and vector optimization. European Journal of Operational Research, 1999, 116: 615-628.

[10]

Kinderlehrer D., Stampacchia G.. An Introduction to Variational Inequalities and Their Applications, 1980, New York-London: Pure and Applied Mathematics, Academic Press, Inc..

[11]

Nagurney A.. A multiclass, multicriteria traffic network equilibrium model. Mathematical and Computer Modelling, 2000, 32: 393-411.

[12]

Nagurney A., Dong J.. Supernetworks, 2002, Chelthenham, English: Edward Elgar

[13]

Quandt R. E.. A probabilistic abstract mode model. Studies in Travel Demand VIII, 1967, Princeton, NJ: Mathematica Inc. 127-149.

[14]

Rockafellar, R. T. (1970). Convex Analysis, N. J. Princeton University Press

[15]

Schneider M.. Access and land development in Urban Development Models. Highway Research Board Special Report, 1968, 97: 164-177.

[16]

Wardrop, J. (1952). Some theoretical aspects of road traffic research. Proceeding of Institute of Civil Engineers, Part II, 325–378

[17]

Yang X. Q., Goh C. J.. On vector variational inequalities: Application to vector equilibria. Journal of Optimization Theory and Applications, 1997, 95: 431-443.

AI Summary AI Mindmap
PDF

209

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/